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Molecular Spectroscopy: Absorption and Emission01:14

Molecular Spectroscopy: Absorption and Emission

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Molecules possess discrete energy levels called quantum states. Unlike atoms, which have simpler energy levels, molecules possess additional rotational and vibrational energy levels.  Each energy level is separated by an energy gap, with the gaps between adjacent electronic, vibrational, and rotational levels varying significantly. The three types of energy levels in a diatomic molecule are shown in Figure 1.
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Atomic spectroscopy is a vital tool in elemental analysis, both qualitatively and quantitatively. It can be broadly divided into optical spectroscopy, mass spectroscopy, and X-ray spectroscopy methods. The optical spectroscopic methods are atomic absorption spectroscopy (AAS), atomic emission spectroscopy (AES), and atomic fluorescence spectroscopy (AFS). The first step in all three methods is atomization, where the solid, liquid, or solution-phase samples are converted into gas-phase atoms and...
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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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UV–Vis Spectroscopy: Molecular Electronic Transitions01:16

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In Ultraviolet–Visible (UV–Vis) spectroscopy, the absorption of electromagnetic radiation is used to probe the electronic structure of molecules. This technique provides insights into molecular electronic transitions, particularly the movement of electrons between different molecular orbitals. Radiation is absorbed if the energy of the electromagnetic radiation passing through the molecule is precisely equal to the energy difference between the excited and ground states. During this...
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Atomic Absorption Spectroscopy: Atomization Methods01:25

Atomic Absorption Spectroscopy: Atomization Methods

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Atomic Absorption Spectroscopy (AAS) atomizes samples through flame atomization or electrothermal atomization. Flame atomization typically involves a nebulizer and spray chamber assembly to combine the sample with a fuel–oxidant mixture, creating a fine aerosol mist that enters a burner. Typically, the fuel and oxidant are combined in an approximately stoichiometric ratio. However, for atoms that are easily oxidized, a fuel-rich mixture may be more advantageous. Only about 5% of the...
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Atomic Absorption Spectroscopy: Overview01:27

Atomic Absorption Spectroscopy: Overview

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Atomic absorption spectroscopy (AAS) is a technique used to analyze elements by measuring electromagnetic radiation (EMR) absorbed by atoms, which causes them to transition to a higher-energy orbit. The most crucial step in AAS is atomization, where the analyte is converted into gas-phase atoms, typically through a flame or furnace. Some of these atoms become thermally excited in the flame, while most remain in the ground state.
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Updated: Feb 19, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Target State Optimization with Density Functional Theory for Computing K-Edge X-ray Absorption Spectra.

Hong Zhu1,2, Yangyi Lu2, Jiali Gao1,2,3

  • 1School of Chemical Biology and Biotechnology, Peking University Shenzhen Graduate School, Shenzhen 518055, China.

Journal of Chemical Theory and Computation
|February 17, 2026
PubMed
Summary
This summary is machine-generated.

Target State Optimization Density Functional Theory (TSO-DFT) accurately predicts molecular K-edge X-ray Absorption Spectra (XAS) by accounting for orbital relaxation. This method offers sub-eV accuracy, outperforming Time-Dependent Density Functional Theory for core excitations.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Spectroscopy

Background:

  • Time-Dependent Density Functional Theory (TDDFT) often underestimates core excitation energies in molecular X-ray Absorption Spectra (XAS) by over 10 eV.
  • Accurate prediction of core excitations is crucial for understanding molecular electronic structure.

Purpose of the Study:

  • To evaluate the performance of Target State Optimization Density Functional Theory (TSO-DFT) for predicting molecular K-edge X-ray Absorption Spectra (XAS).
  • To demonstrate TSO-DFT's capability in capturing orbital relaxation effects for improved accuracy in core excitation energy predictions.

Main Methods:

  • Application of TSO-DFT to calculate K-edge XAS for various molecules, including CO2, N2O, carbonyl compounds, and radicals.
  • Prediction of angle-dependent XAS for porphyrin and polarized XAS for the uranyl ion using TSO-DFT.

Main Results:

  • TSO-DFT achieves sub-electronvolt accuracy in predicting core excitation energies, significantly improving upon TDDFT.
  • The method successfully predicts main spectral features and core excitation energies for diverse molecular systems.
  • Calculated XAS spectra show excellent agreement with experimental data, providing insights into electronic structure changes.

Conclusions:

  • TSO-DFT is a highly accurate and promising computational method for the study of molecular X-ray Absorption Spectra.
  • The TSO-DFT method is accessible through the free Qbics software package.